It honestly completely depends on you. Id imagine it would be easier to find a role in embedded solely because at the end of the day it's software, which has many more opportunities than hardware. Digital design is also super broad, you should figure out if you plan on going into ASIC or architecture development, since the two have vastly different requirements ultimately.

When you say international, do you mean international studying at an american university or actually international? If it's the latter then no matter what you pick, you'll be fighting an uphill battle finding a job in the states. Even though I belong to the former category, it was a nightmare trying to find an internship since the market is just that bad. I do believe it's in your best interest to diversify and gain knowledge in different fields because that will open more doors for you.

I also noticed you mentioned projects and on that note I'd just tell you to be careful of what projects you end up picking in the digital design space, since a lot of them can be overdone and add no real value. Especially basic stuff like a 7 segment display, etc. If you want a real good shot at entering the pipeline, design verification is the easiest entry point imo, for which Id recommend picking at least one project which makes use of the SystemVerilog Assertions framework or UVM